\(\mathcal H^2\)-matrices -- multilevel methods for the approximation of integral operators.

DOI10.1007/s00791-004-0135-2zbMath1070.65124OpenAlexW1508675023MaRDI QIDQ1780882

Steffen Börm

Publication date: 14 June 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-004-0135-2

zbMATH Keywords

Galerkin methodnumerical examplesboundary element methodintegral operatormultigrid methodsPoisson equationGreen's theorempanel clustering algorithms

Mathematics Subject Classification ID

Related Items (2)

Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices ⋮ Algorithmic patterns for \(\mathcal {H}\)-matrices on many-core processors

Cites Work

• Unnamed Item
• Rapid solution of integral equations of classical potential theory
• On the fast matrix multiplication in the boundary element method by panel clustering
• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• Construction and arithmetics of \(\mathcal H\)-matrices
• Introduction to hierarchical matrices with applications.
• Variable order panel clustering
• Approximation of integral operators by variable-order interpolation
• A sparse \({\mathcal H}\)-matrix arithmetic: General complexity estimates
• Data-sparse approximation by adaptive \({\mathcal H}^2\)-matrices
• \(\mathcal H^2\)-matrix approximation of integral operators by interpolation
• A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems
• Wavelets on Manifolds I: Construction and Domain Decomposition
• A fast algorithm for particle simulations
• Multilevel approximation of boundary integral operators

This page was built for publication: \(\mathcal H^2\)-matrices -- multilevel methods for the approximation of integral operators.